Question

ABCD is the cross-section of a metal container in a paint factory.

If AB = 2.4 m, DC = 1.6 m, BQ = CR = 1.2 m and height of the container is 1.1 m, find the cost of paint at ₹ 40 per litre. [1 m³ = 1000 litres]

Answer 1

We have,

ABCD is the cross-section of a metal container in a paint factory. If AB = 2.4 m, DC = 1.6 m, BQ = CR = 1.2 m and height of the container is 1.1 m,

Area of cross-section ABCD is `1/2 (AB + DC) xx CM`

= `1/2 1.6 + 2.4 xx 1.1`

= 2.2 m²

Now the volume of paint in the container

= Area of cross-section × Length of metal container

= 2.2 × 1.2

= 2.64 m³ 

Then, the volume of paint in the container in litres is 2.64 × 1000 = 2640 litres

Therefore, the cost of paint is ₹ 40 × 2640 = ₹ 105600